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900999450 = 2345213109157
BaseRepresentation
bin110101101101000…
…010100100011010
32022210101111220000
4311231002210122
53321123440300
6225223313430
731220240361
oct6555024432
92283344800
10900999450
1142265524a
122118ab876
13114886590
148793a7d8
1554177c00
hex35b4291a

900999450 has 240 divisors, whose sum is σ = 2738079960. Its totient is φ = 218350080.

The previous prime is 900999427. The next prime is 900999497. The reversal of 900999450 is 54999009.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 2259009 + 898740441 = 1503^2 + 29979^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 900999396 and 900999405.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5738772 + ... + 5738928.

Almost surely, 2900999450 is an apocalyptic number.

900999450 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 900999450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369039980).

900999450 is an abundant number, since it is smaller than the sum of its proper divisors (1837080510).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

900999450 is a wasteful number, since it uses less digits than its factorization.

900999450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The square root of 900999450 is about 30016.6528780276. The cubic root of 900999450 is about 965.8466443798.

The spelling of 900999450 in words is "nine hundred million, nine hundred ninety-nine thousand, four hundred fifty".